Home
Class 12
MATHS
Consider the equation int(1)^(e) ((log...

Consider the equation
`int_(1)^(e) ((log_(e) x)^(1/2))/(x (a - (log_(e) x)^(3/2))^(2)) dx = 1` a in ` (-oo , 0) cup (1 , oo)`
Which of the following statements is/are TRUE ?

A

No a satisfies the above equation

B

An integer a satisfies the above equation

C

An irrational number a satisfies the above equation

D

More than one a satisfy the above equation

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE ADVANCED 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise MATHEMATICS (SECTION -3)|4 Videos

  • JEE ADVANCED 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise MATHEMATICS (SECTION -1)|8 Videos

  • JEE ADVANCED 2021

    JEE ADVANCED PREVIOUS YEAR|Exercise QUESTION|38 Videos

  • JEE ADVANCED 2023

    JEE ADVANCED PREVIOUS YEAR|Exercise Question|31 Videos

Similar Questions

Explore conceptually related problems

int_(1)^(2) (log_(e) x)/(x^(2)) dx

int_(1)^(x)log_(e)[x]dx

int_(1//e)^(e) (dx)/(x(log x)^(1//3))

int(log_(e)x)/((1+x)^(2))dx

int(log_(e)x)/((1+x)^(2))dx

int_(0)^(1)(log_(e)(1+x))/(1+x^(2))dx

int(1)/(x cos^(2)(log_(e)x))dx

" "int(log_(e)x)/((1+x)^(2))dx

int_(1)^(e^(2))(dx)/(x(1+log x)^(2))=

int log_(e)(1+x^(2))dx